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Escaping Set of Hyperbolic Semigroup
Published 28 Mar 2018 in math.DS | (1803.10381v1)
Abstract: In this paper, we mainly study hyperbolic semigroups from which we get non-empty escaping set and Eremenko's conjecture remains valid. We prove that if each generator of bounded type transcendental semigroup S is hyperbolic, then the semigroup is itself hyperbolic and all components of I(S) are unbounded
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